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<b>let </b><font color="Maroon">S</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="msualg_1.html#L1" target="_self">ManySortedSign</a> ;<br/>

<b>assume </b><a NAME="E1:21"/><i><font color="Green">E23</font></i>: 
<font color="Maroon">S</font> is <a href="realset2.html#V3">trivial</a>
 ;<br/>

<b>let </b><font color="Maroon">A</font> be    <a href="msualg_1.html#L3" target="_self">MSAlgebra</a> of <font color="Maroon">S</font>;<br/><b>let </b><font color="Maroon">c1</font> be   <a href="pboole.html#NM3">Component</a> of the <a href="msualg_1.html#U4" target="_self">Sorts</a> of <font color="Maroon">A</font>, <font color="Maroon">c2</font> be   <a href="pboole.html#NM3">Component</a> of the <a href="msualg_1.html#U4" target="_self">Sorts</a> of <font color="Maroon">A</font>;<br/>



<b>consider </b><font color="Maroon">i1</font> being    <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E3:21"/><i><font color="Green">E24</font></i>: 
<font color="Maroon">i1</font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font>
 <b>and </b><br/><a NAME="E4:21"/><i><font color="Green">E34</font></i>: 
<font color="Maroon">c1</font> <a href="hidden.html#R1">=</a> the <a href="msualg_1.html#U4" target="_self">Sorts</a> of <font color="Maroon">A</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i1</font>
 <b>by </b><i><a class="ref" href="pboole.html#T150">PBOOLE:150</a></i>;<br/>
<b>consider </b><font color="Maroon">i2</font> being    <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E6:21"/><i><font color="Green">E36</font></i>: 
<font color="Maroon">i2</font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font>
 <b>and </b><br/><a NAME="E7:21"/><i><font color="Green">E49</font></i>: 
<font color="Maroon">c2</font> <a href="hidden.html#R1">=</a> the <a href="msualg_1.html#U4" target="_self">Sorts</a> of <font color="Maroon">A</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i2</font>
 <b>by </b><i><a class="ref" href="pboole.html#T150">PBOOLE:150</a></i>;<br/>
<b>thus </b><a NAME="E8:21"/>
<font color="Maroon">c1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">c2</font>
 <b>by </b><i>, , , , , <a class="ref" href="realset2.html#D7">REALSET2:def 7</a></i>;<br/>


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